CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS

UNIVERZA V MARIBORU UNIVERSITY OF MARIBOR

KREKOVA 2 SI-2000 MARIBOR SLOVENIA

Phone +(386) (2) 2355 350 and 2355 351 Fax +(386) (2) 2355 360

Robnik@uni-mb.si www.camtp.uni-mb.si

PROF.DR. MARKO ROBNIK, DIRECTOR

**Abstract**:
In classical and quantum mechanics the term integrability refers to an
algebraic procedure which reduces an interacting system to a non-interacting
one. Even though integrability is exceptional in nature it
is often encountered in important phenomenological and fundamental models of
many-body physics and field theory. An appealing mathematical
framework of integrability has been put forward by C. N. Yang and R. Baxter
which unified the treatment of exactly solvable systems in d+1 dimensional
equilibrium classical statistical mechanics and d dimensional quantum
mechanics. These techniques, known also as algebraic Bethe ansatz or quantum
soliton theory, have been further elaborated by the celebrated Leningrad
school of mathematical physics.
After a historical overview I shall focus quantum
transport in 1d. I will explain how integrability structures can be
relevant or irrelevant for the observable phenomena. I will
show how the steady state problem for the quantum Heisenberg chain driven far
from equilibrium can bring into the game new fundamental structures, such as
quasi-local conservation laws.

**Seminarsko predavanje (v angleškem jeziku)
bo v sredo 12. junija 2013 ob 15:15 uri
v seminarski sobi CAMTP na Krekovi 2, pritličje desno.
Vljudno vabljeni vsi zainteresirani, tudi študentje.**

Prof.Dr. Marko Robnik

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